988344690278400 has 7776 divisors, whose sum is σ = 4882568983084800. Its totient is φ = 194772153139200.

The previous prime is 988344690278399. The next prime is 988344690278417. The reversal of 988344690278400 is 4872096443889.

988344690278400 is a `hidden beast` number, since 9 + 8 + 8 + 344 + 6 + 9 + 0 + 278 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13920347750365 + ... + 13920347750435.

It is an arithmetic number, because the mean of its divisors is an integer number (627902389800).

Almost surely, 2^{988344690278400} is an apocalyptic number.

988344690278400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988344690278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441284491542400).

988344690278400 is an abundant number, since it is smaller than the sum of its proper divisors (3894224292806400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

988344690278400 is a wasteful number, since it uses less digits than its factorization.

988344690278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 988344690278400 in words is "nine hundred eighty-eight trillion, three hundred forty-four billion, six hundred ninety million, two hundred seventy-eight thousand, four hundred".